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Finding the Third Proportional to 251,244 and 538,888

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Solution

The third proportional to 251,244 and 538,888 is: 1,155,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,244 : 538,888 = 538,888 : x
  2. Step 2: Convert to fraction form
    251,244/538,888 = 538,888/x
  3. Step 3: Cross multiply
    251,244x = 538,888 × 538,888
  4. Step 4: Simplify right side
    251,244x = 290,400,276,544
  5. Step 5: Solve for x
    x = 290,400,276,544/251,244
  6. Step 6: Final answer
    x = 1,155,849.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.